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Finding the Fourth Proportional to 2,119.10, 3,178.85 and 658.26

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Solution

The fourth proportional to 2,119.10, 3,178.85 and 658.26 is: 987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.10 : 3,178.85 = 658.26 : x
  2. Step 2: Convert to fraction form
    2,119.10/3,178.85 = 658.26/x
  3. Step 3: Cross multiply
    2,119.10x = 3,178.85 × 658.26
  4. Step 4: Simplify right side
    2,119.10x = 2,092,506.51
  5. Step 5: Solve for x
    x = 2,092,506.51/2,119.10
  6. Step 6: Final answer
    x = 987.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.